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Evaluate the expression when x=11: x + 44 / (2x) =
- A. 33
- B. 2.5
- C. 13
- D. 55/22
Correct Answer: C
Rationale: To evaluate the expression, substitute x=11 into the equation: 11 + 44 / (2*11). First, calculate 2*11 = 22. Then, simplify the expression: 11 + 44 / 22 = 11 + 2 = 13. Therefore, the correct answer is 13, which corresponds to choice C.
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Change 1/10 to a decimal.
- A. 0.001
- B. 0.1
- C. 0.01
- D. 0.0001
Correct Answer: B
Rationale: To change 1/10 to a decimal, divide the numerator (1) by the denominator (10). So, 1 ÷ 10 = 0.1. The correct answer is B (0.1). A (0.001), C (0.01), and D (0.0001) are incorrect as they do not represent the decimal equivalent of 1/10. A is 100 times smaller, C is 10 times smaller, and D is 1,000 times smaller than the correct answer.
Convert the percentage to a decimal: 126% =
- A. 126
- B. 0.0126
- C. 0.126
- D. 1.26
Correct Answer: D
Rationale: To convert a percentage to a decimal, you move the decimal point two places to the left. Therefore, 126% = 1.26 as a decimal. When you see 126%, it signifies having 126 parts out of 100, which is equivalent to 1.26 as a decimal. Remember that percentages represent parts out of 100, so converting to a decimal entails dividing by 100, resulting in the shift of the decimal point two places to the left.
What is the result of adding 2/3 + 4/9?
- A. 8/15
- B. 9/9 = 1
- C. 6/12 = 1/2
- D. 10/9 = 1 & 1/9
Correct Answer: D
Rationale: To add fractions, you need to find a common denominator. In this case, the least common multiple of 3 and 9 is 9. To add 2/3 + 4/9, convert 2/3 to have a denominator of 9 by multiplying the numerator and denominator by 3, which gives you 6/9. Now, you can add 6/9 + 4/9 to get 10/9. However, 10/9 can be simplified to 1 & 1/9, making choice D the correct answer.
If 5 is to 30 as X is to 1, find the value of X. (Round to the nearest tenth.)
- A. 6
- B. 5.5
- C. 5
- D. 4.5
Correct Answer: A
Rationale: To find the value of X, set up a proportion: 5/30 = X/1. Cross-multiply to get 5 = 30X. Divide both sides by 30, which gives X = 5/30 = 0.1667. When rounded to the nearest tenth, X is 0.2, which is equivalent to 6 when rounded to a whole number. Therefore, the value of X is 6.
Convert 0.60 to a ratio in simplest form.
- A. 3:5
- B. 2:50
- C. 2:6
- D. 1:6
Correct Answer: A
Rationale: To convert 0.60 to a ratio, start by expressing it as a fraction: 0.60 = 60/100. Then simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 20 in this case. Dividing 60 by 20 gives 3, and dividing 100 by 20 gives 5. Therefore, the simplified fraction is 3/5, which translates to the ratio 3:5 in simplest form.